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# Need help with a quadratic inequality problem :)

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Here is the problem:

What is the largest integer \(n\) such that \((1 + 2 + 3 + \cdots+ n)^2 < 1^3 + 2^3 + \cdots+ 7^3?\)

Thank you!

Nov 30, 2018

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Hopefully you know that \(1^3+2^3+3^3+...+n^3=(1+2+3+...+n)^2\).

Therefore, we see that \(n=7\) when the equations are equal so \(n=6\)

You are very welcome!

:P

Nov 30, 2018
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Awesome! I totally forgot about that XD

thx again!

Guest Nov 30, 2018
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Lol it's fine, happy to help!

CoolStuffYT  Dec 1, 2018